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<b>let </b><font color="Maroon">D</font> be  non <a href="xboole_0.html#V1">empty</a> <a href="finset_1.html#V1">finite</a>  <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">C</font> be  non <a href="xboole_0.html#V1">empty</a> <a href="finset_1.html#V1">finite</a>  <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">F</font> be   <a href="partfun1.html#NM1">PartFunc</a> of <font color="Maroon">D</font>, <a href="numbers.html#K1">REAL</a> ;<br/><b>let </b><font color="Maroon">B</font> be   <a href="rearran1.html#NM1">RearrangmentGen</a> of <font color="Maroon">C</font>;<br/>







<b>assume </b><a NAME="E1:40"/>
( <font color="Maroon">F</font> is <a href="partfun1.html#V1">total</a> &amp;  <a href="card_1.html#K4">card</a> <font color="Maroon">C</font> <a href="hidden.html#R1">=</a>  <a href="card_1.html#K4">card</a> <font color="Maroon">D</font> )
 ;<br/>

<a NAME="E2:40"/><b>then </b>
(  <a href="rearran1.html#K3" target="_self">Rland</a> <font color="Maroon">F</font>,<font color="Maroon">B</font>, <a href="rfunct_3.html#K22">FinS</a> <font color="Maroon">F</font>,<font color="Maroon">D</font> <a href="rfinseq.html#R1">are_fiberwise_equipotent</a>  &amp;  <a href="rfunct_3.html#K22">FinS</a> <span class="p1">(<span class="default"><a href="rearran1.html#K3" target="_self">Rland</a> <font color="Maroon">F</font>,<font color="Maroon">B</font></span>)</span>,<font color="Maroon">C</font> <a href="hidden.html#R1">=</a>  <a href="rfunct_3.html#K22">FinS</a> <font color="Maroon">F</font>,<font color="Maroon">D</font> &amp;  <a href="rfunct_3.html#K24">Sum</a> <span class="p1">(<span class="default"><a href="rearran1.html#K3" target="_self">Rland</a> <font color="Maroon">F</font>,<font color="Maroon">B</font></span>)</span>,<font color="Maroon">C</font> <a href="hidden.html#R1">=</a>  <a href="rfunct_3.html#K24">Sum</a> <font color="Maroon">F</font>,<font color="Maroon">D</font> &amp;  <a href="rearran1.html#K4" target="_self">Rlor</a> <font color="Maroon">F</font>,<font color="Maroon">B</font>, <a href="rfunct_3.html#K22">FinS</a> <font color="Maroon">F</font>,<font color="Maroon">D</font> <a href="rfinseq.html#R1">are_fiberwise_equipotent</a>  &amp;  <a href="rfunct_3.html#K22">FinS</a> <span class="p1">(<span class="default"><a href="rearran1.html#K4" target="_self">Rlor</a> <font color="Maroon">F</font>,<font color="Maroon">B</font></span>)</span>,<font color="Maroon">C</font> <a href="hidden.html#R1">=</a>  <a href="rfunct_3.html#K22">FinS</a> <font color="Maroon">F</font>,<font color="Maroon">D</font> &amp;  <a href="rfunct_3.html#K24">Sum</a> <span class="p1">(<span class="default"><a href="rearran1.html#K4" target="_self">Rlor</a> <font color="Maroon">F</font>,<font color="Maroon">B</font></span>)</span>,<font color="Maroon">C</font> <a href="hidden.html#R1">=</a>  <a href="rfunct_3.html#K24">Sum</a> <font color="Maroon">F</font>,<font color="Maroon">D</font> )
 
<b>by </b><i>, , , <a class="txt" href="rearran1.html#E1"><i><font color="Green">Lemma31</font></i></a>, , </i>;<br/>
<b>hence </b><a NAME="E3:40"/>
(  <a href="rearran1.html#K4" target="_self">Rlor</a> <font color="Maroon">F</font>,<font color="Maroon">B</font>, <a href="rearran1.html#K3" target="_self">Rland</a> <font color="Maroon">F</font>,<font color="Maroon">B</font> <a href="rfinseq.html#R1">are_fiberwise_equipotent</a>  &amp;  <a href="rfunct_3.html#K22">FinS</a> <span class="p1">(<span class="default"><a href="rearran1.html#K4" target="_self">Rlor</a> <font color="Maroon">F</font>,<font color="Maroon">B</font></span>)</span>,<font color="Maroon">C</font> <a href="hidden.html#R1">=</a>  <a href="rfunct_3.html#K22">FinS</a> <span class="p1">(<span class="default"><a href="rearran1.html#K3" target="_self">Rland</a> <font color="Maroon">F</font>,<font color="Maroon">B</font></span>)</span>,<font color="Maroon">C</font> &amp;  <a href="rfunct_3.html#K24">Sum</a> <span class="p1">(<span class="default"><a href="rearran1.html#K4" target="_self">Rlor</a> <font color="Maroon">F</font>,<font color="Maroon">B</font></span>)</span>,<font color="Maroon">C</font> <a href="hidden.html#R1">=</a>  <a href="rfunct_3.html#K24">Sum</a> <span class="p1">(<span class="default"><a href="rearran1.html#K3" target="_self">Rland</a> <font color="Maroon">F</font>,<font color="Maroon">B</font></span>)</span>,<font color="Maroon">C</font> )
 <b>by </b><i><a class="ref" href="rfinseq.html#T2">RFINSEQ:2</a></i>;<br/>


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